Mohlo by sa vám tiež páčiť

Viac informácií o knihe Partial Differential Equations VIII

• Parametre knihy
• Anotácia kniha
• Obľúbené z iného súdka

Nákupom získate 224 bodov

Anotácia knihy

Consider a linear partial differential operator A that maps a vector-valued function Y = (Yl,"" Ym) into a vector-valued function I = (h,···, II). We assume at first that all the functions, as well as the coefficients of the differen tial operator, are defined in an open domain Jl in the n-dimensional Euclidean n space IR , and that they are smooth (infinitely differentiable). A is called an overdetermined operator if there is a non-zero differential operator A' such that the composition A' A is the zero operator (and underdetermined if there is a non-zero operator A" such that AA" = 0). If A is overdetermined, then A'I = 0 is a necessary condition for the solvability of the system Ay = I with an unknown vector-valued function y. 3 A simple example in 1R is the operator grad, which maps a scalar func tion Y into the vector-valued function (8y/8x!, 8y/8x2, 8y/8x3)' A necessary solvability condition for the system grad y = I has the form curl I = O.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Geometry

• Celý názov: Partial Differential Equations VIII
• Podnázov: Overdetermined Systems Dissipative Singular Schrödinger Operator Index Theory
• Autor: M. A. Shubin, C. Constanda
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 261
• EAN: 9783642489464
• ISBN: 364248946X
• ID: 07051407
• Nakladateľ: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Hmotnosť: 417 g
• Rozmery: 235 × 155 × 16 mm
• Dátum vydania: 14. April 2012

Obľúbené z iného súdka

---

---

---